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Finding the Third Proportional to 203,420 and 314,715

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Solution

The third proportional to 203,420 and 314,715 is: 486,901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,420 : 314,715 = 314,715 : x
  2. Step 2: Convert to fraction form
    203,420/314,715 = 314,715/x
  3. Step 3: Cross multiply
    203,420x = 314,715 × 314,715
  4. Step 4: Simplify right side
    203,420x = 99,045,531,225
  5. Step 5: Solve for x
    x = 99,045,531,225/203,420
  6. Step 6: Final answer
    x = 486,901.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.